Active control of horseshoes chaos in a driven Rayleigh oscillator with fractional order deflection

CAK Kwuimy, BRN Nbendjo - Physics Letters A, 2011 - Elsevier
The problem of suppressing chaos in the Rayleigh oscillator with fractional order deflection
is considered. The explanation of Melnikovʼs techniques shows that the dynamic …

Dispersion-managed solitons in the cubic complex Ginzburg–Landau equation as perturbations of nonlinear Schrödinger equation

SI Fewo, J Atangana, A Kenfack-Jiotsa… - Optics Communications, 2005 - Elsevier
With the help of the one-dimensional cubic complex Ginzburg–Landau equation (CGLE) as
perturbations of the nonlinear Schrödinger equation (NLSE), we derive the equations of …

Melnikov chaos, control and synchronization of fractal Josephson junction

COA Osseni, CH Miwadinou, AV Monwanou - Physica Scripta, 2023 - iopscience.iop.org
Josephson junctions due to their memory and non-linearity properties have considerably
impacted the exact sciences and technological fields in particular. In this study, we …

Chaotic oscillations in Josephson tetrode

A Uchida, H Iida, N Maki, M Osawa… - IEEE transactions on …, 2004 - ieeexplore.ieee.org
We numerically demonstrate the generation of chaos in a four-terminal superconductive
device made of five Josephson weak-link junctions, which is referred to as" Josephson …

Homoclinic crossing in open systems: Chaos in periodically perturbed monopole plus quadrupolelike potentials

PS Letelier, AE Motter - Physical Review E, 1999 - APS
The Melnikov method is applied to periodically perturbed open systems modeled by an
inverse-square-law attraction center plus a quadrupolelike term. A compactification …

Intermittent-type chaos in nonsinusoidal driven oscillators

L Nana, TC Kofané, E Coquet, P Tchofo-Dinda - Physica Scripta, 2000 - iopscience.iop.org
The intermittent-type chaos occurring in rf-and dc-nonsinusoidal driven oscillators is
investigated analytically and numerically. The attention is focused on a general class of …

Subharmonic and homoclinic bifurcations in the driven and damped sine-Gordon system

L Nana, TC Kofané, E Kaptouom - Physica D: Nonlinear Phenomena, 1999 - Elsevier
Chaotic responses induced by an applied biharmonic driven signal on the sine-Gordon (sG)
system influenced by a constant dc-driven and the damping fields are investigated using a …

[图书][B] Synchronized chaotic oscillations

MM Sushchik - 1996 - search.proquest.com
When two or more chaotic systems are coupled they may exhibit synchronized chaotic
oscillations. The synchronization of chaos is usually understood as the regime of chaotic …

The bradbury butterfly effect in long Josephson junctions

KN Yugay, EA Yashkevich - Journal of superconductivity and novel …, 2006 - Springer
In a well-known science fiction novel by Ray Bradbury, a butterfly in the pre-historic past is
accidentally crushed by time travelers and this seemingly insignificant event radically …

Melnikov's Method for Spatial Periodic Field and Bifurcation in a Modified Sine-Gordon Model

A Kenfack, TC Kofane - Physica Scripta, 1998 - iopscience.iop.org
A parametrically modified sine-Gordon model subject to an applied spatial periodic field is
considered. It is shown by analyzing the phase plane that the deformable parameter R plays …